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Finding the Fourth Proportional to 10,549.64, 15,826.02 and 3,976.28

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Solution

The fourth proportional to 10,549.64, 15,826.02 and 3,976.28 is: 5,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.64 : 15,826.02 = 3,976.28 : x
  2. Step 2: Convert to fraction form
    10,549.64/15,826.02 = 3,976.28/x
  3. Step 3: Cross multiply
    10,549.64x = 15,826.02 × 3,976.28
  4. Step 4: Simplify right side
    10,549.64x = 62,928,686.81
  5. Step 5: Solve for x
    x = 62,928,686.81/10,549.64
  6. Step 6: Final answer
    x = 5,965.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.